压电材料界面刚性导电型线夹杂的反平面问题

Antiplane Problems of a Rigid Conducting Line Inclusion at the Interface Between Two Piezoelectric Materials

  • 摘要: 研究两种压电材料界面含有刚性导电型线夹杂时的电弹性行为。用叠加原理,将要讨论的反平面问题分解为均匀场和辅助场的叠加,而辅助场问题可以借助于对偶积分方程求解与其相应的边值问题。

     

    Abstract: Electroelastic behaviors of piezoelectric bimaterials with an interfacial rigid conducting inclusion were studied. Antiplane problems considered, by means of superposition, were separated into a uniform field and an auxiliary field, which can be determined by solving resulting boundary value problem with the help of the solutions of dual integral equations. The entire electroelastic field and the asymptotic field near the inclusion tip were obtained under four types of combined mechanical and electric loading at infinity, respectively, and the singularity coefficients for all quantities were given explicitly. Stresses, straines, electric displacements and electric fields exhibit the inverse square root singularity near the inclusion tip.

     

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